In your journal, you identified careers that involve irrational numbers. You brainstormed or researched jobs that use pi or Euler's number to do their work. Imagine that your friend loves to plan parties, and he wants to be an event planner someday. He does not think he needs to know how to find a number between two rational numbers. He also says he will never use pi again in his life after math class. You think of some of the tasks he might need to do as an event planner: Decide how many cakes to order when a party could have as few as 50 people and as many as 100 people. Choose a round table that is the correct size to fit six people. Make a prediction about how much to budget for the decorations at a party when the customer is still deciding between $10 floral arrangements and $30 floral arrangements. In your post, explain to your friend how he will use the skill of finding a number between two rational numbers in his dream career: Choose one of the examples from the list above, and represent the example with a mathematical statement. Summarize to your friend why he will need both rational and irrational numbers as an event planner. Then read two of your peers' messages to their friends. Respond to two of your peers: For each message, add one more example of how you believe an event planner needs the skill of finding a number between two rational numbers. Post a detailed response to the Numbers Between Rational Numbers prompt. Then respond to two classmates' posts. Participate in the discussion to learn more about using rational and irrational numbers when planning an event.

Answer 1

Hey [Friend's Name],

I know you're super passionate about becoming an event planner, and it's great to see your enthusiasm! However, I think it's important for you to realize how finding numbers between two rational numbers, as well as understanding both rational and irrational numbers, will actually play a big role in your future career – even if it doesn't seem obvious right now.

Let’s talk about the example of deciding how many cakes to order for a party that could have between 50 and 100 guests. While you might be thinking of whole numbers like 50, 51, etc., it's also key to think about how many cakes you might need. Say each cake serves 12 slices. To find out how many cakes you'll need if you're expecting a number of guests between 50 and 100, you can set it up like this:

1. Establish the range of total guests: 50 < x < 100
2. Find the range of cakes needed:
   • For 50 guests: 50 / 12 = 4.17 cakes (you’ll need to round up to 5 cakes)
   • For 100 guests: 100 / 12 = 8.33 cakes (which means you'll need to order 9 cakes)

In this situation, you are technically using decimal numbers (which are rational) to determine a number in between, and you also have to make decisions that can't always be whole numbers, like rounding up for the number of cakes.

Why are irrational numbers like pi important too? Well, consider if you're planning to place round tables for your guests. To ensure that the tables fit well in the space you have, you need to measure the diameter of each table. The diameter is directly related to pi, as the circumference (the outer edge of the table) is calculated using pi (C = πd). So when you're planning the layout of the event, understanding how to use pi in your calculations will help you maximize space efficiently.

In summary, both rational and irrational numbers will come in handy while planning events. Rational numbers will help you make concrete decisions about quantities and distances, while irrational numbers will help you handle more geometric concepts and measurements.

I hope this helps you see how essential math and these concepts can be in your journey as an event planner!

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Responses to Peers:

1. Peer Response 1: Hey [Peer's Name], I loved your example about budgeting for decorations! Another way an event planner needs to find numbers between two rational numbers could be when deciding how many tables with 6 seats each to arrange for a mixed-gender event. If you're expecting anywhere between 40 and 80 people, you might end up needing a number that isn't whole, such as averaging out based on RSVPs, to figure out how to best divide that up into proper seating arrangements.

2. Peer Response 2: Great post, [Peer's Name]! I agree with your take on the importance of decoration item pricing. Another example that ties into finding values between rational numbers is when an event planner is selecting the type and quantity of food. If they have a budget between $500 and $1,000, they'll need to analyze menu pricing to calculate the average cost per guest, which can help them decide on how many appetizer platters or buffet items to purchase while still being under budget.

I'm looking forward to seeing how we can deepen our understanding of rational and irrational numbers beyond the classroom!

Answer 2

can you make it shorter and make it sound like an 8th grader

Answer 3

Hey [Friend's Name],

I see you’re excited about being an event planner, but I think you should consider how important numbers really are for your job. Even though you might think you’ll never need to find numbers between two rational numbers, it can actually help a lot!

Let’s say you’re deciding how many cakes to order for a party with between 50 and 100 people. A cake can serve 12 slices, so if you expect 50 people, you’d need about 5 cakes (50/12 = 4.17, so you round up). But if you're expecting 100 guests, you’d need about 9 cakes (100/12 = 8.33). Here, you're using numbers in between to figure out the right amount.

Also, don’t forget about irrational numbers like pi! If you’re using round tables, you’ll need to know their measurements, and that involves pi because it helps you calculate the size of the table (C = πd).

So, both rational and irrational numbers are super important in planning events. Rational numbers help with quantities, and irrational numbers help with shapes and sizes.

Hope this helps!

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Responses to Peers:

1. Peer Response 1: Hey [Peer's Name], I like your example about budgeting! Another way an event planner uses numbers is when deciding how many tables to set up. If you expect between 40 and 80 people, you might have to figure out the best way to split them into groups of six, which isn't always a simple number.

2. Peer Response 2: Great job, [Peer's Name]! I agree with your decoration example. Another situation for finding numbers is when picking food. If you have a budget between $500 and $1,000, you’ll need to figure out how much food to order based on the guest count to stay within budget.

Looking forward to more math talk!

Answer 4

Thx = thanks

Answer 5

You're welcome! If you have any more questions or need further help, feel free to ask. Good luck with your event planning thoughts! Thx for reaching out!